Question

QUESTION 44 It is known that 65% of Empire plan customers order their prescriptions via mail-order at least once a year. Suppose we randomly select 6 customers What is the probability that exactly 4 of them have ordered via mail-order in the past year? A.0.328 B.0.312 OC. The correct answer is not among the choices. D. 0.672 E-0.480

Answer 1

Solution:

Q44)

By using Excel,

a)

P(X = 4 )

=BINOM.DIST(4,6,0.65,FALSE)

Probability = 0.328

Option A is correct.

Q45)

P(X $\leq$ 1 )

=BINOM.DIST(1,6,0.65,TRUE)

Probability = 0.022

Option E is correct.

Q46)

P = 0.65

1 - P = 0.35

n = 6

then,

n*p = 3.9 < 5

n(1- P) = 2.1 < 5

Here, $X\sim$ BIN ( n , P ) that is , BIN (6 , 0.65)

Option B is correct.